Geodesic
Nonuniform exponential dichotomy for block triangular systems on the half line
Tien, Le Huy 1 ; Nhien, Le Duc 1 ; Chien, Ta Van 1
1 Department of Mathematics, Mechanics and Informatics, Vietnam National University at Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Viet Nam
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 2, p. 85-96.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we discuss the nonuniform exponential dichotomy properties of nonautonomous systems of linear differential equations. Since any linear differential systems are kinematically similar to a triangular system, considering the relation between the nonuniform exponential dichotomy properties of the triangular system is necessary. Without loss of generality, we consider block upper triangular systems and give the criteria for the nonuniform exponential dichotomy of triangular systems on the half line for unbounded systems.
DOI : 10.22436/jnsa.013.02.02
Classification : 34D09, 34A30
Keywords: Nonuniform exponential dichotomy, triangular system, exponential dichotomy

Tien, Le Huy  1 ; Nhien, Le Duc  1 ; Chien, Ta Van  1

1 Department of Mathematics, Mechanics and Informatics, Vietnam National University at Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Viet Nam 
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Tien, Le Huy ; Nhien, Le Duc ; Chien, Ta Van . Nonuniform exponential dichotomy for block triangular systems  on the half line. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 2, p. 85-96. doi : 10.22436/jnsa.013.02.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.02.02/

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